The generator matrix

 1  0  0  1  1  1  2  1  1  2  1  1  0  0  X X+2  1  1  X  1  1 X+2  X  1  X  1  1  1  1  0  1  1
 0  1  0  2  3  1  1  0  3  1  2  1  1 X+2  X  0  X X+3  1 X+2 X+1  1  1 X+1  0  1 X+2 X+1 X+2  2 X+3  X
 0  0  1 X+3 X+1  2 X+1 X+2  3  3  1  X X+2  1  1  1  1  X  X X+1  0  2  1 X+3  1  3  0  3 X+3  1 X+3  2

generates a code of length 32 over Z4[X]/(X^2+2,2X) who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+64x^29+94x^30+90x^31+85x^32+50x^33+52x^34+26x^35+16x^36+14x^37+6x^38+12x^39+2x^40

The gray image is a code over GF(2) with n=128, k=9 and d=58.
This code was found by Heurico 1.13 in -6.29e-008 seconds.